Brahmagupta quadrilaterals with equal perimeters and equal areas

DOI10.1142/S1793042120500268zbMath1460.11037arXiv1901.05785OpenAlexW2970693897MaRDI QIDQ5221469

Ajai Choudhry

Publication date: 26 March 2020

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.05785

zbMATH Keywords

cyclic quadrilateralsrational quadrilateralsBrahmagupta quadrilateralsequal perimeters and equal areasquadruples of integers with equal sums and equal products

Mathematics Subject Classification ID

Higher degree equations; Fermat's equation (11D41)

Related Items (4)

On an elliptic curve involving pairs of triangles and special quadrilaterals ⋮ \(\theta\)-triangle and \(\omega\)-parallelogram pairs with areas and perimeters in certain proportions ⋮ Integral triangles and perpendicular quadrilateral pairs with a common area and a common perimeter ⋮ Rational triangle pairs and cyclic quadrilateral pairs with areas and perimeters in certain proportions

Cites Work

• Paramesvara's rule for the circumradius of a cyclic quadrilateral
• Retracted: Some results on Heron triangles.
• Equal sums of like powers and equal products of integers
• Isosceles triangles equal in perimeter and area
• Unsolved problems in number theory
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